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An equivalence relation on the tangent bundle of a manifold is defined in order to extend a structure (modulated or not) onto it. This extension affords a representation of a structure in any tangent space and that in another tangent space can easily be de ...
Arranging characters and strings in order of representation codes is not suitable for application programming. Even when character ordering is logical, the usual filing of words in dictionaries does not correspond with the mathematical lexicographic orderi ...
Dihydroxyviolanthrone (I) [128-59-6] was prepd. by oxidn. of 4,4'-bibenzanthrone [116-90-5] to dioxoviolanthrone (II) [64346-54-9] with electrogenerated Mn+3+ and redn. of II to I with SO2. A decrease in current efficiency was obsd. after each cycle due to ...
In the first part of this paper, IrO2 electrodes produced by thermal decomposition of H2IrCl6 precursor were manufactured using the spin coating deposition technique, where centrifugal forces spread the precursor solution with simultaneous evaporation of t ...
Two Boolean functions are NPN equivalent if one can be ob- tained from the other by negating inputs, permuting inputs, or negating the output. NPN equivalence is an equivalence relation and the number of equivalence classes is significantly smaller than th ...
This work is dedicated to the study of Borel equivalence relations acting on Borel fields of CAT(0) metric spaces over a standard probability space. In this new framework we get similar results to some theorems proved recently by S. Adams-W. Ballmann or N. ...
The exponential localization of Wannier functions in two or three dimensions is proven for all insulators that display time-reversal symmetry, settling a long-standing conjecture. Our proof relies on the equivalence between the existence of analytic quasi- ...
As Avez showed (in 1970), the fundamental group of a compact Riemannian manifold of nonpositive sectional curvature has exponential growth if and only if it is not flat. After several generalizations from Gromov, Zimmer, Anderson, Burger and Shroeder, the ...
Numerous evidence suggests that thick-film resistors are close to a metal– insulator transition and that tunneling processes between metallic grains are the main source of resistance. By theoretical analysis of various percolative resistor network models w ...
The influence of shaping and toroidicity on the ideal MHD stability of the reversed field pinch (RFP) is investigated with respect to current driven and pressure driven modes. It is found that triangularity and X-point shaping does not significantly modify ...
